Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bb |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.222667861757E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17528584,-28219492112] |
[a1,a2,a3,a4,a6] |
Generators |
[-48069018:80564030:19683] |
Generators of the group modulo torsion |
j |
82082047379525857/71974117512 |
j-invariant |
L |
3.7451510734519 |
L(r)(E,1)/r! |
Ω |
0.073787994305667 |
Real period |
R |
12.688890382978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794r3 10032l3 |
Quadratic twists by: -4 -11 |